Home
Class 11
MATHS
C1 is a circle with centre at the origin...

`C_1` is a circle with centre at the origin and radius equal to 'r' and `C_2` is a circle with centre at (3r, 0) and radius equal to 2r. The number of common tangents that can be drawn to the two circle are :

Text Solution

Verified by Experts

3
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos

  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the circle with centre at (0,0) and radius r .

Find the equation of the circle with centre (-3,2) and radius 4 .

In each of the following find the equation of the circle with centre (0,2) and radius 2

In each of the following find the equation of the circle with centre (-2,3) and radius 4

Draw a line segment AB, the length of which is 3 cm. Draw a circle with centre at A and with radius equal to AB. Tehn construct a tangent to that circle at the point B.

A circle touches the x-axis and also touches the circle with centre (0,3) and radius2. The locus of the centre of the circle is

Let C be the circle with centre at (1, 1) and radius = 1. If T is the circle centered at (0, Y) passing through origin and touching the circle C externally, then the radius of T is equal to :

The two chords AB and CD of a circle with centre at O are equal. If angle AOB = 60^(@) and CD =r cm , then find the radius of the circle.

The polar equation of the circle with centre (2, pi/2) and radius 3, is : r^2 - 4r sin theta = k , then k = ?

PATHFINDER-CIRCLE-QUESTION BANK
  1. Match List - I with List-II

    Text Solution

    |

  2. The line joining (5, 0) to (10 cos theta, 10 sin theta) is divided int...

    Text Solution

    |

  3. C1 is a circle with centre at the origin and radius equal to 'r' and C...

    Text Solution

    |

  4. The area of the triangle formed by joining the origin to the points of...

    Text Solution

    |

  5. A circle touches the X-axis and also touches the circle with centre (0...

    Text Solution

    |

  6. The polar equation of the circle with centre (2, pi/2) and radius 3, i...

    Text Solution

    |

  7. Two straight lines rotate about two fixed points. If they start from t...

    Text Solution

    |

  8. The side of a square are x = 1, x = 3, y = 2 and y = 4. Find the equat...

    Text Solution

    |

  9. The circle x^2 + y^2 - 4x - 8y + 16 = 0 rolls up along the tangent to ...

    Text Solution

    |

  10. If lx + my = 1 touches the circle x^2 + y^2 = a^2, prove that the poin...

    Text Solution

    |

  11. Find the equations of the tangents drawn from the point A(3, 2) to the...

    Text Solution

    |

  12. Find the value of alpha for which the point (alpha, alpha + 2) is an i...

    Text Solution

    |

  13. Prove that the tangent to the circle x^2 + y^2 - 8x + 6y + 20 = 0 and ...

    Text Solution

    |

  14. Find the equation of the circle which passes through (1, 1) and cuts o...

    Text Solution

    |

  15. A variable circle passes through the point A(a, b) and touches the x-a...

    Text Solution

    |

  16. If the two lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 cut the co-...

    Text Solution

    |

  17. The locus of the centre of the circle of radius 2 which rolls on the i...

    Text Solution

    |

  18. Four distinct points (2k,3k),(1,0),(0,1)and(0,0) lie on a circle for

    Text Solution

    |

  19. The circle described on the line joining the points (0,1),(a,b) as dia...

    Text Solution

    |

  20. The centre of a circle passing through the points (0,0),(1,0)and touch...

    Text Solution

    |